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191940 = 22357457
BaseRepresentation
bin101110110111000100
3100202021220
4232313010
522120230
64040340
71426410
oct566704
9322256
10191940
11121231
12930b0
1369498
144dd40
153bd10
hex2edc4

191940 has 48 divisors (see below), whose sum is σ = 615552. Its totient is φ = 43776.

The previous prime is 191929. The next prime is 191953. The reversal of 191940 is 49191.

191940 = T34 + T35 + ... + T105.

It is a self number, because there is not a number n which added to its sum of digits gives 191940.

It is an unprimeable number.

191940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (12824).

2191940 is an apocalyptic number.

191940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307776).

191940 is an abundant number, since it is smaller than the sum of its proper divisors (423612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

191940 is a wasteful number, since it uses less digits than its factorization.

191940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 191940 is about 438.1095753348. The cubic root of 191940 is about 57.6839728130.

The spelling of 191940 in words is "one hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 457 914 1371 1828 2285 2742 3199 4570 5484 6398 6855 9140 9597 12796 13710 15995 19194 27420 31990 38388 47985 63980 95970 191940